A numerical solution of a generalized Swift-Hohenberg equation in two
dimensions reveals the existence of a spatiotemporal chaotic state com
prised of a large number of rotating spirals. This state is observed f
or a reduced Rayleigh number epsilon = 0.25. The power spectrum of the
pattern is isotropic, and the spatial correlation function decays exp
onentially, with an estimated decay length xi almost-equal-to 2.5lambd
a(c), where lambda(c) is the critical wavelength near the onset of con
vection. Our study suggests that this spiral defect state occurs for l
ow Prandtl numbers and large aspect ratios.